Certificate for #1555 ⟨a, b, c | aaa=ab, bbc=1⟩

Back:⟨a, b, c | aaa=ab, bbc=1⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbc=1

Axiom: bbc=1.

Defines rule #3.

Referenced by [3].

[3] aaaaac=a

Overlap of [1] ab=aaa with [2] bbc=1:

a b bbc

Critical pair: a=aaabc.

Reduce RHS:

[1]aa(ab)c
⇒ aaaaac

Flip LHS and RHS.

Defines rule #1.